Intuitionistic fuzzy sets and soft sets are two different soft computing models for representing vagueness and uncertainty. We apply these soft computing models in combination to study vagueness and uncertainty in K-algebras. We first introduce the notion of ${(\in, \in\vee q)}$-intuitionistic fuzzy K-algebras and discuss some of their properties. Then we introduce intuitionistic fuzzy soft K-algebras and investigate some of their properties. Finally, we introduce ${(\in, \in \vee q)}$-intuitionistic fuzzy soft K-algebras and present some of their related properties. 相似文献

The concept of intuitionistic fuzzy systems, including intuitionistic fuzzy sets and intuitionistic fuzzy logic, was introduced by Atanassov as a generalization of fuzzy systems. Intuitionistic fuzzy systems provide a mechanism for communication between computing systems and humans. In this paper, we describe the development of an intuitionistic fuzzy logic controller for heater fans, developed on the basis of intuitionistic fuzzy systems. Intuitionistic fuzzy inference systems and defuzzification techniques are used to obtain crisp output (i.e., speed of the heater fan) from an intuitionistic fuzzy input (i.e., ambient temperature). The speed of the heater fan is calculated using intuitionistic fuzzy rules applied in an inference engine using defuzzification methods. 相似文献

In this paper we apply the concept of interval-valued bifuzzy sets to hemirings. We introduce the notion of interval-valued
bifuzzy left h-ideals of hemirings and investigate some of their properties. Using interval-valued bifuzzy left h-ideals, characterizations of Artinian and Noetherian hemirings are established. 相似文献

Fuzzy graph theory is used for solving real-world problems in different fields, including theoretical computer science, engineering, physics, combinatorics and medical sciences. In this paper, we present conepts of bipolar neutrosophic multigraphs, bipolar neutrosophic planar graphs, bipolar neutrosophic dual graphs, and study some of their related properties. We also describe applications of bipolar neutrosophic graphs in road network and electrical connections. 相似文献

We discuss the admissible parameter space for some state space models, including the models that underly exponential smoothing
methods. We find that the usual parameter restrictions (requiring all smoothing parameters to lie between 0 and 1) do not
always lead to stable models. We also find that all seasonal exponential smoothing methods are unstable as the underlying
state space models are neither reachable nor observable. This instability does not affect the forecasts, but does corrupt
the state estimates. The problem can be overcome with a simple normalizing procedure. Finally we show that the admissible
parameter space of a seasonal exponential smoothing model is much larger than that for a basic structural model, leading to
better forecasts from the exponential smoothing model when there is a rapidly changing seasonal pattern. 相似文献

Zhang introduced the concept of bipolar fuzzy sets as a generalization of fuzzy sets. Bipolar fuzzy sets have shown advantages in solving decision making problems than fuzzy sets. In this research paper, we study several different types of domination, including equitable domination, k-domination and restrained domination in bipolar fuzzy graphs. We present novel applications of bipolar fuzzy graphs to decision making problems. We also present an algorithm for computing dominating number in our applications. 相似文献

A neutrosophic set is a generalization of an intuitionistic fuzzy set. Neutrosophic models give more flexibility, precisions and compatibility to the system as compared to intuitionistic fuzzy models. In this research study, we apply the concept of neutrosophic sets to graphs and discuss certain concepts of single-valued neutrosophic graphs. We illustrate the concepts by several examples. We investigate some interesting properties. We describe an application of single-valued neutrosophic graph in decision making process. We also present the procedure of our proposed method as an algorithm. 相似文献

The notion of an m-polar fuzzy set is a generalization of a bipolar fuzzy set. We apply the concept of m-polar fuzzy sets to graphs. We introduce certain types of irregular m-polar fuzzy graphs and investigate some of their properties. We describe the concepts of types of irregular m-polar fuzzy graphs with several examples. We also present applications of m-polar fuzzy graphs in decision making and social network as examples. 相似文献

We present different types of new concepts, including intuitionistic fuzzy soft graphs, complete intuitionistic fuzzy soft graph, strong intuitionistic fuzzy soft graph and self complement of intuitionistic fuzzy soft graph. We describe various methods of their construction, and investigate some of their related properties. We also discuss applications of intuitionistic fuzzy soft graphs in communication network and decision making. 相似文献